Interleaving in Mathematical Category Learning

On the basis of a substantial, robust, and well-replicated cognitive science research literature, interleaving has been recommended across a range of professional pedagogical works as an evidence-based strategy for mathematics teachers. This report first notes the conflation of interleaving and spacing effects underpinning those recommendations and the limitations of some laboratory-based research as grounding for practice, particularly given that no direct interleaving research involves mathematical concepts with school students. It then reports on two large classroom experiments aimed at replicating the direct interleaving-versus-blocking effect, alongside a more common teaching approach, for learning well-defined mathematical categories (angle relations). Repeated failure to detect an interleaving-versus-blocking effect raises the question of whether this effect is relevant to learning defined mathematical concepts.

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Publication Details

Journal
Journal for Research in Mathematics Education
Published
2025-05-01
DOI
https://doi.org/10.5951/jresematheduc-2024-0055
Primary Topic
Mathematics Education and Teaching Techniques
Type
article
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article

Interleaving in Mathematical Category Learning

Adrian Simpson, Paul Rowlandson
Journal for Research in Mathematics Education
Mathematics Education and Teaching Techniques
article

Interleaving in Mathematical Category Learning

Adrian Simpson, Paul Rowlandson
article en

Abstract

On the basis of a substantial, robust, and well-replicated cognitive science research literature, interleaving has been recommended across a range of professional pedagogical works as an evidence-based strategy for mathematics teachers. This report first notes the conflation of interleaving and spacing effects underpinning those recommendations and the limitations of some laboratory-based research as grounding for practice, particularly given that no direct interleaving research involves mathematical concepts with school students. It then reports on two large classroom experiments aimed at replicating the direct interleaving-versus-blocking effect, alongside a more common teaching approach, for learning well-defined mathematical categories (angle relations). Repeated failure to detect an interleaving-versus-blocking effect raises the question of whether this effect is relevant to learning defined mathematical concepts.

Journal for Research in Mathematics EducationVol. 56(3)
Durham University (GB)
Openalex Percentile: Top 90%
Mathematics Education and Teaching Techniques
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